Question : The value of $\left(2 \frac{6}{7}\right.$ of $\left.4 \frac{1}{5} \div \frac{2}{3}\right) \times 5 \frac{1}{9} \div\left(\frac{3}{4} \times 2 \frac{2}{3}\right.$ of $\left.\frac{1}{2} \div \frac{1}{4}\right)$ is:
Option 1: 25
Option 2: 19
Option 3: 23
Option 4: 21
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Correct Answer: 23
Solution :
$\left(2 \frac{6}{7}\right.$ of $\left.4 \frac{1}{5} \div \frac{2}{3}\right) \times 5 \frac{1}{9} \div\left(\frac{3}{4} \times 2 \frac{2}{3}\right.$ of $\left.\frac{1}{2} \div \frac{1}{4}\right)$
= $\left(\frac{20}{7}\right.$ of $\left. \frac{21}{5} \div \frac{2}{3}\right) \times \frac{46}{9} \div\left(\frac{3}{4} \times \frac{8}{3}\right.$ of $\left.\frac{1}{2} \div \frac{1}{4}\right)$
= $\left(12\right.×\left. \frac{3}{2}\right) \times \frac{46}{9} \div\left(\frac{3}{4} \times \frac{4}{3}\right.×\left.4\right)$
= $\left(18\right) \times \frac{46}{9} \div\left(4\right)$
= $\left(18\right) \times \frac{46}{9}×\left(\frac{1}{4}\right)$
= $23$
Hence, the correct answer is 23.
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